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3 years ago

What is the solutions to 3x+y=-8 and -2x+y=6

Mathematics

1 answer:

Liula [17]3 years ago

6 0

The solutions to your problem I believe is 4 and -6.

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Solve 3 - x/2 > 15..

ruslelena [56]

Answer:

x ≥-24

Step-by-step explanation:

3 - x/2 ≥ 15

Subtract 3 from each side

3-3 - x/2 ≥ 15-3

-x/2 ≥12

Multiply by -2

-x/2 * -2 ≥12 *-2

x ≥-24

4 0

3 years ago

Read 2 more answers

1/2x + 1/3y = 7

pashok25 [27]

let's multiply both sides in each equation by the LCD of all fractions in it, thus doing away with the denominator.

$\begin{cases} \cfrac{1}{2}x+\cfrac{1}{3}y&=7\\\\ \cfrac{1}{4}x+\cfrac{2}{3}y&=6 \end{cases}\implies \begin{cases} \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6\left( \cfrac{1}{2}x+\cfrac{1}{3}y \right)=6(7)}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{1}{4}x+\cfrac{2}{3}y\right)=12(6)} \end{cases}\implies \begin{cases} 3x+2y=42\\ 3x+8y=72 \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{using elimination}}{ \begin{array}{llll} 3x+2y=42&\times -1\implies &\begin{matrix} -3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-2y=&-42\\ 3x+8y-72 &&~~\begin{matrix} 3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+8y=&72\\ \cline{3-4}\\ &&~\hfill 6y=&30 \end{array}} \\\\\\ y=\cfrac{30}{6}\implies \blacktriangleright y=5 \blacktriangleleft \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{substituting \underline{y} on the 1st equation}~\hfill }{3x+2(5)=42\implies 3x+10=42}\implies 3x=32 \\\\\\ x=\cfrac{32}{3}\implies \blacktriangleright x=10\frac{2}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(10\frac{2}{3}~~,~~5 \right)~\hfill$

7 0

3 years ago

Please help me ill give u more points <3.

mariarad [96]

Answer:

d i believe its do but i need 20 characters

8 0

3 years ago

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Draw a set of objects where you can find a fractional part of the group using the total number of objects by using subgroups

lara31 [8.8K]

We divide the total set into several sub-sets (subgroups) that contain the exact same number of members. This way we know the number of total members by adding the number of total subsets.

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3 years ago

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What is the range of the function?<br> The function f(x) = -(x + 5)(x + 1) is shown.

Anton [14]

Answer:

Step-by-step explanation:

u do 5 times x then do 1 times f .

6 0

3 years ago